They gave you a set of numbers that you replace the variable x in the equation to see if it gives a correct answer so just do exactly that.
6 + 2x = 24
6 + 2(6) = 24
6 + 12 = 24
18 = 24 so incorrect. both sides are not equal to each other.
6 + 2x = 24
6 + 2(9) = 24
6 + 18 = 24
24 = 24 so correct. both sides are equal to each other.
6 + 2x = 24
6 + 2(15) = 24
6 + 30 = 24
36 = 24 so incorrect. both sides are not equal to each other.
6 + 2x = 24
6 + 2(16) = 24
6 + 32 = 24
38 = 24 so incorrect. both sides are not equal to each other.
so your answer is b) 9
Answer:
cant see the ordered pair so i cant help with that but if your first number is positive move to the right and if its negative move to the left. if your second number is positive move up and if its negative move down.
Alright, lets get started.
Please refer the diagram I have attached. (The diogonal path is shown with orange color)
There is a rectangular lawn having the dimensions 61 feet and 48 feet.
When the path extends diagonally between two opposite corners of the lawn, it makes the diagonal of the rectangle.
For finding the diagonal, we could use Pythagorean theorem.
![c^2 = a^2 + b^2](https://tex.z-dn.net/?f=%20c%5E2%20%3D%20a%5E2%20%2B%20b%5E2%20)
![c^2 = 61^2 + 48^2](https://tex.z-dn.net/?f=%20c%5E2%20%3D%2061%5E2%20%2B%2048%5E2%20)
![c^2 = 3721+ 2304](https://tex.z-dn.net/?f=%20c%5E2%20%3D%203721%2B%202304%20)
![c^2 = 6025](https://tex.z-dn.net/?f=%20c%5E2%20%3D%206025%20)
Taking square root on both sides
![c = 77.6](https://tex.z-dn.net/?f=%20c%20%3D%2077.6%20)
Hence the length of the path is 77.6 feet. : Answer
Hope it will help :)
This is an absolute value , for example |-6| = 6 and |-0| = 0 so your answer is
Y >= 0 ( your last choice)
Answer: The ladder should be at least 34 feet long (approximately)
Step-by-step explanation: Please refer to the diagram attached for details.
The chimney is depicted as line AB (33 ft). The distance from the base of the chimney to the ladder is depicted as line BC (3 ft). The ladder is placed such that it forms an angle of 75.5 degrees with the floor. Hence the required length of the ladder needed is shown in the diagram as line AC (line b). The resulting diagram now has an opposite (33 ft) and an hypotenuse (b) which is yet unknown.
To calculate line b, we shall apply the trigonometric ratio as follows;
SinC = opposite/hypotenuse
Sin 75.5 = 33/b
By cross multiplication we now have
b = 33/Sin 75.5
b = 33/0.9681
b = 34.087
Therefore the required length of the ladder is approximately 34 feet.